409115266560 has 2560 divisors, whose sum is σ = 2002311843840. Its totient is φ = 77396705280.

The previous prime is 409115266517. The next prime is 409115266597. The reversal of 409115266560 is 65662511904.

409115266560 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 1 + 526 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5604318684 + ... + 5604318756.

It is an arithmetic number, because the mean of its divisors is an integer number (782153064).

Almost surely, 2^409115266560 is an apocalyptic number.

409115266560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409115266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001155921920).

409115266560 is an abundant number, since it is smaller than the sum of its proper divisors (1593196577280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409115266560 is an equidigital number, since it uses as much as digits as its factorization.

409115266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 409115266560 in words is "four hundred nine billion, one hundred fifteen million, two hundred sixty-six thousand, five hundred sixty".